Big Idea: Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Investigation 1: Making comparisons
Problem 1.1 and F.U
Writing Ads
A. Describe what you think each of the four statements means. Explain how each shows a comparison. Be sure to tell what is being compared and how it is being compared.
In the first one, it says that 3 people preferred Bolda Cola, and 2 people preferred Cola Nola. Which means that there are more people that like Bolda Cola than people who like Cola Nola.
In the second one, it says that 17,139 people like Bolda Cola, and 11,426 people like Cola Nola better. The number of people that like Bolda Cola is bigger than the number of people that like Cola Nola, so it means that more people like Bolda Cola.
In the third one, it sais that 5713 more people liked Bolda Cola. It means that whatever the number of people who did that survey is, 5713 more people preffered Bolda Cola to Cola Nola.
In the fourth one, it says that 60% prefer Bolda Cola to Cola Nola. Which means that only 40% of people like Cola Nola better. So more people like Bolda Cola.
B. Is it possible that all four advertisings claims are based on the same survey data? Explain your answer.
In the first statement, 5 people have taken this survey. 3 pfrefer Bolda Cola. 3 to 5 is equal to 6 to 10, which is equal to 60 to 100, which is the same as 60%.
In the second statement, they say that 17,139 people liked Bolda Cola, and 11,426 like Cola Nola.
17,139 + 11,426 = 28,565
17,139 : 28,565 = 0.6
0.6 is equal to 60%
In the third statement, they say that 5713 more people preffered Bolda Cola to Cola Nola.
17,139 - 5713 = 11,426
If the difference between 17,139 and 11,426 is 5713, then it means that those two statements are based on the same data.
All those satements are somewhere related and are all equal to 60%. So, yes, all the statements are based on the same data.
C. Which comparison do you think is the most accurate way to report the survey data? Why?
I think the second one is the most accurate statement, because it has the exact numbers of people who prefer Bolda Cola, and the exact numbers of people who prefer Cola Nola.
D. Which comparison do you think would be the most effective advertisement for Bolda Cola? Why?
I think the last one would be the best advertisement for Bolda Cola, because percentages are easy to understand and it does not give any direct informations about Cola Nola.
Follow-Up
Write two statements comparing the popularity of the two colas. Explain each statement you write.
6 out of 10 people preffered Bolda Cola to Cola Nola. ( out of 5 people, 3 preffered Bolda Cola -statement number 1-, so if you multiply both numbers by 2, you get 6 out of 10.)
40% of people prefer Cola Nola to Bolda Cola. (Since 60% of people prefer Bolda Cola, then 40% prefer Cola Nola.)
Lena Wattez
Block 7B
Big Idea: Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Investigation 1: Making comparisons
Problem 1.1 and F.U
Writing Ads
A. Describe what you think each of the four statements means. Explain how each shows a comparison. Be sure to tell what is being compared and how it is being compared.
In the first one, it says that 3 people preferred Bolda Cola, and 2 people preferred Cola Nola. Which means that there are more people that like Bolda Cola than people who like Cola Nola.In the second one, it says that 17,139 people like Bolda Cola, and 11,426 people like Cola Nola better. The number of people that like Bolda Cola is bigger than the number of people that like Cola Nola, so it means that more people like Bolda Cola.
In the third one, it sais that 5713 more people liked Bolda Cola. It means that whatever the number of people who did that survey is, 5713 more people preffered Bolda Cola to Cola Nola.
In the fourth one, it says that 60% prefer Bolda Cola to Cola Nola. Which means that only 40% of people like Cola Nola better. So more people like Bolda Cola.
B. Is it possible that all four advertisings claims are based on the same survey data? Explain your answer.
- In the second statement, they say that 17,139 people liked Bolda Cola, and 11,426 like Cola Nola.
17,139 : 28,565 = 0.617,139 + 11,426 = 28,565
0.6 is equal to 60%
- In the third statement, they say that 5713 more people preffered Bolda Cola to Cola Nola.
17,139 - 5713 = 11,426If the difference between 17,139 and 11,426 is 5713, then it means that those two statements are based on the same data.
All those satements are somewhere related and are all equal to 60%. So, yes, all the statements are based on the same data.
C. Which comparison do you think is the most accurate way to report the survey data? Why?
I think the second one is the most accurate statement, because it has the exact numbers of people who prefer Bolda Cola, and the exact numbers of people who prefer Cola Nola.D. Which comparison do you think would be the most effective advertisement for Bolda Cola? Why?
I think the last one would be the best advertisement for Bolda Cola, because percentages are easy to understand and it does not give any direct informations about Cola Nola.Follow-Up
Write two statements comparing the popularity of the two colas. Explain each statement you write.